Updated script that builds OpenSSL for OS X, iOS and tvOS. Bitcode enabled for iOS, tvOS. Updated to build for tvOS, use the latest SDKs, skip installing man pages (to save time), download the OpenSSL source over HTTPS, patch OpenSSL for tvOS to not use fork(). Currently requires Xcode7.1b or later (for the tvOS SDK).

openssl-build.sh

#!/bin/bash

# This script downloads and builds the iOS, tvOS and Mac openSSL libraries with Bitcode enabled

# Credits:
# https://github.com/st3fan/ios-openssl
# https://github.com/x2on/OpenSSL-for-iPhone/blob/master/build-libssl.sh
# https://gist.github.com/foozmeat/5154962
# Peter Steinberger, PSPDFKit GmbH, @steipete.
# Felix Schwarz, IOSPIRIT GmbH, @felix_schwarz.

set -e

usage ()
{
	echo "usage: $0 [iOS SDK version (defaults to latest)] [tvOS SDK version (defaults to latest)] [OS X minimum deployment target (defaults to 10.7)]"
	exit 127
}

if [ $1 -e "-h" ]; then
	usage
fi

if [ -z $1 ]; then
	IOS_SDK_VERSION="" #"9.1"
	IOS_MIN_SDK_VERSION="8.0"
	
	TVOS_SDK_VERSION="" #"9.0"
	TVOS_MIN_SDK_VERSION="9.0"
	
	OSX_DEPLOYMENT_TARGET="10.7"
else
	IOS_SDK_VERSION=$1
	TVOS_SDK_VERSION=$2
	OSX_DEPLOYMENT_TARGET=$3
fi

OPENSSL_VERSION="openssl-1.0.2d"
DEVELOPER=`xcode-select -print-path`

buildMac()
{
	ARCH=$1

	echo "Building ${OPENSSL_VERSION} for ${ARCH}"

	TARGET="darwin-i386-cc"

	if [[ $ARCH == "x86_64" ]]; then
		TARGET="darwin64-x86_64-cc"
	fi

	export CC="${BUILD_TOOLS}/usr/bin/clang -fembed-bitcode -mmacosx-version-min=${OSX_DEPLOYMENT_TARGET}"

	pushd . > /dev/null
	cd "${OPENSSL_VERSION}"
	./Configure no-asm ${TARGET} --openssldir="/tmp/${OPENSSL_VERSION}-${ARCH}" &> "/tmp/${OPENSSL_VERSION}-${ARCH}.log"
	make >> "/tmp/${OPENSSL_VERSION}-${ARCH}.log" 2>&1
	make install_sw >> "/tmp/${OPENSSL_VERSION}-${ARCH}.log" 2>&1
	make clean >> "/tmp/${OPENSSL_VERSION}-${ARCH}.log" 2>&1
	popd > /dev/null
}

buildIOS()
{
	ARCH=$1

	pushd . > /dev/null
	cd "${OPENSSL_VERSION}"
  
	if [[ "${ARCH}" == "i386" || "${ARCH}" == "x86_64" ]]; then
		PLATFORM="iPhoneSimulator"
	else
		PLATFORM="iPhoneOS"
		sed -ie "s!static volatile sig_atomic_t intr_signal;!static volatile intr_signal;!" "crypto/ui/ui_openssl.c"
	fi
  
	export $PLATFORM
	export CROSS_TOP="${DEVELOPER}/Platforms/${PLATFORM}.platform/Developer"
	export CROSS_SDK="${PLATFORM}${IOS_SDK_VERSION}.sdk"
	export BUILD_TOOLS="${DEVELOPER}"
	export CC="${BUILD_TOOLS}/usr/bin/gcc -fembed-bitcode -arch ${ARCH}"
   
	echo "Building ${OPENSSL_VERSION} for ${PLATFORM} ${IOS_SDK_VERSION} ${ARCH}"

	if [[ "${ARCH}" == "x86_64" ]]; then
		./Configure no-asm darwin64-x86_64-cc --openssldir="/tmp/${OPENSSL_VERSION}-iOS-${ARCH}" &> "/tmp/${OPENSSL_VERSION}-iOS-${ARCH}.log"
	else
		./Configure iphoneos-cross --openssldir="/tmp/${OPENSSL_VERSION}-iOS-${ARCH}" &> "/tmp/${OPENSSL_VERSION}-iOS-${ARCH}.log"
	fi
	# add -isysroot to CC=
	sed -ie "s!^CFLAG=!CFLAG=-isysroot ${CROSS_TOP}/SDKs/${CROSS_SDK} -miphoneos-version-min=${IOS_MIN_SDK_VERSION} !" "Makefile"

	make >> "/tmp/${OPENSSL_VERSION}-iOS-${ARCH}.log" 2>&1
	make install_sw >> "/tmp/${OPENSSL_VERSION}-iOS-${ARCH}.log" 2>&1
	make clean >> "/tmp/${OPENSSL_VERSION}-iOS-${ARCH}.log" 2>&1
	popd > /dev/null
}

buildTVOS()
{
	ARCH=$1

	pushd . > /dev/null
	cd "${OPENSSL_VERSION}"
  
	if [[ "${ARCH}" == "i386" || "${ARCH}" == "x86_64" ]]; then
		PLATFORM="AppleTVSimulator"
	else
		PLATFORM="AppleTVOS"
		sed -ie "s!static volatile sig_atomic_t intr_signal;!static volatile intr_signal;!" "crypto/ui/ui_openssl.c"
	fi
  
	export $PLATFORM
	export CROSS_TOP="${DEVELOPER}/Platforms/${PLATFORM}.platform/Developer"
	export CROSS_SDK="${PLATFORM}${TVOS_SDK_VERSION}.sdk"
	export BUILD_TOOLS="${DEVELOPER}"
	export CC="${BUILD_TOOLS}/usr/bin/gcc -fembed-bitcode -arch ${ARCH}"
   
	echo "Building ${OPENSSL_VERSION} for ${PLATFORM} ${TVOS_SDK_VERSION} ${ARCH}"

	# Patch apps/speed.c to not use fork() since it's not available on tvOS
	LANG=C sed -i -- 's/define HAVE_FORK 1/define HAVE_FORK 0/' "./apps/speed.c"

	# Patch Configure to build for tvOS, not iOS
	LANG=C sed -i -- 's/D\_REENTRANT\:iOS/D\_REENTRANT\:tvOS/' "./Configure"
	chmod u+x ./Configure

	if [[ "${ARCH}" == "x86_64" ]]; then
		./Configure no-asm darwin64-x86_64-cc --openssldir="/tmp/${OPENSSL_VERSION}-tvOS-${ARCH}" &> "/tmp/${OPENSSL_VERSION}-tvOS-${ARCH}.log"
	else
		./Configure iphoneos-cross --openssldir="/tmp/${OPENSSL_VERSION}-tvOS-${ARCH}" &> "/tmp/${OPENSSL_VERSION}-tvOS-${ARCH}.log"
	fi
	# add -isysroot to CC=
	sed -ie "s!^CFLAG=!CFLAG=-isysroot ${CROSS_TOP}/SDKs/${CROSS_SDK} -mtvos-version-min=${TVOS_MIN_SDK_VERSION} !" "Makefile"

	make >> "/tmp/${OPENSSL_VERSION}-tvOS-${ARCH}.log" 2>&1
	make install_sw >> "/tmp/${OPENSSL_VERSION}-tvOS-${ARCH}.log" 2>&1
	make clean >> "/tmp/${OPENSSL_VERSION}-tvOS-${ARCH}.log" 2>&1
	popd > /dev/null
}


echo "Cleaning up"
rm -rf include/openssl/* lib/*

mkdir -p lib
mkdir -p include/openssl/

rm -rf "/tmp/${OPENSSL_VERSION}-*"
rm -rf "/tmp/${OPENSSL_VERSION}-*.log"

rm -rf "${OPENSSL_VERSION}"

if [ ! -e ${OPENSSL_VERSION}.tar.gz ]; then
	echo "Downloading ${OPENSSL_VERSION}.tar.gz"
	curl -O https://www.openssl.org/source/${OPENSSL_VERSION}.tar.gz
else
	echo "Using ${OPENSSL_VERSION}.tar.gz"
fi

echo "Unpacking openssl"
tar xfz "${OPENSSL_VERSION}.tar.gz"

buildMac "x86_64"

echo "Copying headers"
cp /tmp/${OPENSSL_VERSION}-x86_64/include/openssl/* include/openssl/

echo "Building Mac libraries"
lipo \
	"/tmp/${OPENSSL_VERSION}-x86_64/lib/libcrypto.a" \
	-create -output lib/libcrypto_Mac.a

lipo \
	"/tmp/${OPENSSL_VERSION}-x86_64/lib/libssl.a" \
	-create -output lib/libssl_Mac.a

buildIOS "armv7"
buildIOS "arm64"
buildIOS "x86_64"
buildIOS "i386"

echo "Building iOS libraries"
lipo \
	"/tmp/${OPENSSL_VERSION}-iOS-armv7/lib/libcrypto.a" \
	"/tmp/${OPENSSL_VERSION}-iOS-i386/lib/libcrypto.a" \
	-create -output lib/libcrypto_iOS.a

lipo \
	"/tmp/${OPENSSL_VERSION}-iOS-armv7/lib/libssl.a" \
	"/tmp/${OPENSSL_VERSION}-iOS-i386/lib/libssl.a" \
	-create -output lib/libssl_iOS.a

	echo "Adding 64-bit libraries"
	lipo \
		"lib/libcrypto_iOS.a" \
		"/tmp/${OPENSSL_VERSION}-iOS-arm64/lib/libcrypto.a" \
		"/tmp/${OPENSSL_VERSION}-iOS-x86_64/lib/libcrypto.a" \
		-create -output lib/libcrypto_iOS.a

	lipo \
		"lib/libssl_iOS.a" \
		"/tmp/${OPENSSL_VERSION}-iOS-arm64/lib/libssl.a" \
		"/tmp/${OPENSSL_VERSION}-iOS-x86_64/lib/libssl.a" \
		-create -output lib/libssl_iOS.a

buildTVOS "arm64"
buildTVOS "x86_64"

echo "Building tvOS libraries"
lipo \
	"/tmp/${OPENSSL_VERSION}-tvOS-arm64/lib/libcrypto.a" \
	"/tmp/${OPENSSL_VERSION}-tvOS-x86_64/lib/libcrypto.a" \
	-create -output lib/libcrypto_tvOS.a

lipo \
	"/tmp/${OPENSSL_VERSION}-tvOS-arm64/lib/libssl.a" \
	"/tmp/${OPENSSL_VERSION}-tvOS-x86_64/lib/libssl.a" \
	-create -output lib/libssl_tvOS.a

echo "Cleaning up"
rm -rf /tmp/${OPENSSL_VERSION}-*
rm -rf ${OPENSSL_VERSION}

echo "Done"

to fix possible error:
sed: RE error: illegal byte sequence
it is better to add to .bash_profile :
export LC_CTYPE=C
export LANG=C

@vgoltv I just added those two lines to the beginning of the script, and it worked perfectly. Thank you!

Using this approach, I modified the script to build OpenSSL + libcurl for Mac, iOS and tvOS. https://github.com/jasonacox/Build-OpenSSL-cURL

Thanks guys!

build fail for 1.1.0c with message:

LD_LIBRARY_PATH=.: /usr/bin/clang -fembed-bitcode -mmacosx-version-min=10.7 -DDSO_DLFCN -DHAVE_DLFCN_H -DNDEBUG -DOPENSSL_THREADS -DOPENSSL_NO_STATIC_ENGINE -DOPENSSL_PIC -DOPENSSLDIR="/tmp/openssl-1.1.0c-x86_64" -DENGINESDIR="/usr/local/lib/engines-1.1" -O3 -D_REENTRANT -arch x86_64 -DL_ENDIAN -Wall -fPIC -arch x86_64 -bundle -o engines/capi.dylib engines/e_capi.o -Wl,-search_paths_first -L. -lcrypto
ld: -bundle and -bitcode_bundle (Xcode setting ENABLE_BITCODE=YES) cannot be used together
clang: error: linker command failed with exit code 1 (use -v to see invocation)
make[2]: *** [link_dso.darwin] Error 1
make[1]: *** [engines/capi.dylib] Error 2
make: *** [all] Error 2

Possible to give answer to my STO question about creating Framework from Terminal:

https://stackoverflow.com/q/46808851/6285383